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Nuetrik [128]
2 years ago
12

Answer the following question

Mathematics
1 answer:
Finger [1]2 years ago
5 0

Step-by-step explanation:

the answer is 4.8 hope it helps

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A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?
4vir4ik [10]
Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18

a = ?
b = 7

18 = 2a + 2*7
18 = 2a + 14
2a = 18 - 14
2a = 4
a = 2

Area = a * b
Area = 2 * 7 = 14 miles2
7 0
3 years ago
Three quarters of the batch of twenty cookies burned when you forgot to take them out of the oven how many cookies burned
Natali5045456 [20]
15 cookies burned because if you Turn \frac{3}{4} into a decimal then multiply it by 20 you get 15 and thats your answer.
7 0
2 years ago
An atlas contains a map of Ohio. The table shows data from the key on the map.
Rashid [163]

Answer:

The answer is below

Step-by-step explanation:

a) The graph is attached

b) The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-25=\frac{50-25}{20-10} (x-10)\\\\y-25=2.5(x-10)\\\\y-25=2.5x-25\\\\y=2.5x

The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.

c) y = 2.5x

put x = 48 mm

y = 2.5(48)

y = 120 miles

The actual distance between Toledo and Columbus is 120 miles

d) y = 2.5x

Put y = 225 miles

225 = 2.5x

x = 225/2.5

x = 90 mm

The distance on map between Cincinnati and Cleveland is about 90 mm.

8 0
3 years ago
A car can travel 476 miles on 14 gallons of gas.Write an equation relating the distance d to the number of gallons of gas does t
bazaltina [42]
Mpg = 476/14 = 34 mpg

d = 578 miles = (34 mpg)(x gallons)

578 = 34x

x = 578/34 = 17 gallons
3 0
3 years ago
Given: Line AD is congruent Line CD; Angle 3 is congruent to Angle 4
loris [4]

Step-by-step explanation:

Given : AD=CD and

           ∠3=∠4

To prove : Line DB bisects ∠ABC

                i.e.∠ABD=∠CBD

Proof :  Consider ΔABD and ΔCBD,

\angle3=\angle4\ \{given\}\\\\\implies 180\textdegree-\angle3=180\textdegree-\angle4\\\\\implies\angle 1=\angle 2

and

AD=CD\ \{given\}

and

BD=BD\ \{common\}

So, ΔABD ≅ ΔCBD (By SAS criterion}

Hence , By CPCT (corresponding part of congruent triangle}

∠ABD=∠CBD

Therefore, Line DB bisects ∠ABC.

4 0
3 years ago
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